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14.3 $G^{3, 7, 17} \vert <ab, c>$


Table 16: Orderings for $G^{3, 7, 17} \vert <ab, c>$
Ordering Precedence on $\Sigma$
kbo-A (C 1) $>$ (c 1) $>$ (B 1) $>$ (b 1) $>$ (A 6) $>$ (a 1)
kbo-B (C 1) $>$ (c 1) $>$ (B 6) $>$ (b 1) $>$ (A 1) $>$ (a 1)
kbo-C (C 6) $>$ (c 1) $>$ (B 1) $>$ (b 1) $>$ (A 1) $>$ (a 1)
kbo-a (C 1) $>$ (c 1) $>$ (B 1) $>$ (b 1) $>$ (A 1) $>$ (a 6)
kbo-b (C 1) $>$ (c 1) $>$ (B 1) $>$ (b 6) $>$ (A 1) $>$ (a 1)
kbo-c (C 1) $>$ (c 6) $>$ (B 1) $>$ (b 1) $>$ (A 1) $>$ (a 1)
ll-CcBbAa C $>$ c $>$ B $>$ b $>$ A $>$ a
ll-CcbaBA C $>$ c $>$ b $>$ a $>$ B $>$ A
syl-l-CcBbAa C $>$ c $>$ B $>$ b $>$ A $>$ a



Table 17: Maximal/Total number of cosets defined - $G^{3, 7, 17} \vert <ab, c>$
Ordering NONE P-ALL P-G P-R I-ALL I-R I-R-P
kbo-A 1153 1640 1875 1198 1153 1153 1640
kbo-B 1125 900 1921 1590 1125 1125 900
kbo-C 1070 1196 1362 2027 1070 1070 1196
kbo-a 1153 821 1778 1001 1153 1153 821
kbo-b 1071 1085 1532 1186 1071 1071 1085
kbo-c 1110 1563 2187 1544 1110 1110 1563
ll-CcBbAa 1153 968 1576 2206 1153 1153 945
ll-CcbaBA 1153 944 1570 2244 1180 1153 945
syl-l-CcBbAa 1004 882 1081 1647 1004 1004 882
Ordering NONE P-ALL P-G P-R I-ALL I-R I-R-P
kbo-A 1153 1760 2280 1306 1153 1153 1760
kbo-B 1125 950 2270 1841 1125 1125 950
kbo-C 1075 1293 1489 2193 1075 1075 1293
kbo-a 1153 867 2122 1064 1153 1153 867
kbo-b 1077 1106 1907 1300 1077 1077 1106
kbo-c 1110 1756 2381 1584 1110 1110 1756
ll-CcBbAa 1153 1026 1887 2492 1153 1153 998
ll-CcbaBA 1153 998 1906 2535 1268 1153 999
syl-l-CcBbAa 1040 1012 1198 1853 1040 1040 1012



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